Pith Number

pith:MROTG322

pith:2002:MROTG322WZUBR2TJTUZ2ABSXDR

not attested not anchored not stored refs pending

Two-Loop QCD Helicity Amplitudes for $e^+e^- \to 3$~Jets

A. Koukoutsakis, E. Remiddi, E.W.N. Glover, L.W. Garland, T. Gehrmann

arxiv:hep-ph/0206067 v2 · 2002-06-06 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MROTG322WZUBR2TJTUZ2ABSXDR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Monte Carlo Event Generators for Future Lepton Colliders

Receipt and verification

First computed	2026-07-04T17:25:22.266387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

645d336f5ab66818ea699d33a006571c5b1ef7c773804cde7b839ecac8abbb98

Aliases

arxiv: hep-ph/0206067 · arxiv_version: hep-ph/0206067v2 · doi: 10.48550/arxiv.hep-ph/0206067 · pith_short_12: MROTG322WZUB · pith_short_16: MROTG322WZUBR2TJ · pith_short_8: MROTG322

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MROTG322WZUBR2TJTUZ2ABSXDR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 645d336f5ab66818ea699d33a006571c5b1ef7c773804cde7b839ecac8abbb98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f905683ff8a2a32fc2697516ece052a7fafb539b4cf81309fb81fbfda2921e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-06-06T13:34:50Z",
    "title_canon_sha256": "6a74134832937fa92f00d732e7e2ed3bc5b7e52ba0d0ab58b86b9fa3674aca88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0206067",
    "kind": "arxiv",
    "version": 2
  }
}